On a Fast Version of a Pseudorandom Generator

Abstract

In an earlier paper I constructed a large family of pseudorandom sequences by using the discrete logarithm. While the sequences in this construction have strong pseudorandom properties, they can be generated very slowly since no fast algorithm is known to compute ind n. The purpose of this paper is to modify this family slightly so that the members of the new family can be generated much faster, and they have almost as good pseudorandom properties as the sequences in the original family.